Given a unity feedback system with the following transfer function
a)If the system is to be cascade-compensated so that Ts=1 and
b)determine the range of k for stability
)Given 2내 5+644s(s+4
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Given a unity feedback system with the following transfer function a)If the system is to be casca...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the g...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the gain K. c) if the system is to be cascade-compensated so that T, -1 sec, find the compensator compensator zero is at -45. pole if the d) Sketch the root locus for the new compensated system.
4) 3s points 11. Given the unity...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K G(s) = s(s? +48 + 8) If the value of K is set 8, where are the closed loop poles located? Hint: Non-dominant pole is an integer. (5 Points) b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3 Points)...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s)...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
clear steps pls, thank you ? Given a unity feedback system with forward transfer function, K(5-3)...
clear steps pls, thank you ?
Given a unity feedback system with forward transfer function, K(5-3) G(s)= (sº-s+3)(s +3) a) Construct the root loci. b) Select the range of K for stability.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead c...
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such that the desired closed-loop poles at -2+2j following steps: J, by completing the (a) Find the angle deficiency from the compensator, (b)Find the zero and poles of the compensator (c) Find constant gain Kc.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of G...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlle...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
2. Given a unity feedback system with open-loop transfer function s+40s-I) a) For K-1, derive the...
2. Given a unity feedback system with open-loop transfer function s+40s-I) a) For K-1, derive the expressions for the real and imaginary parts of G(jo). b) What happen to the real and imaginary parts of G(jo) for ω 0 and for Are there values of ω that either the real or imaginary part goes to zero? If not, compute Gijo) for some ovalue, say,, or 2, to help you sketch the Polar plot of Gja). c) d) Use Matlab to...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) =...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the gain K. c) if the system is to be cascade-compensated so that T, -1 sec, find the compensator compensator zero is at -45. pole if the d) Sketch the root locus for the new compensated system.
4) 3s points 11. Given the unity...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K G(s) = s(s? +48 + 8) If the value of K is set 8, where are the closed loop poles located? Hint: Non-dominant pole is an integer. (5 Points) b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3 Points)...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
clear steps pls, thank you ?
Given a unity feedback system with forward transfer function, K(5-3) G(s)= (sº-s+3)(s +3) a) Construct the root loci. b) Select the range of K for stability.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such that the desired closed-loop poles at -2+2j following steps: J, by completing the (a) Find the angle deficiency from the compensator, (b)Find the zero and poles of the compensator (c) Find constant gain Kc.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
The transfer function of the given physical system is Gp(s)-1000 The physical system is controlled with a unity-feedback system shown below, R(s) + Where Ge is the controller transfer function 3. Lead/Lag Compensator (a) Design a compensator such that the settling time of the compensated system T < 0.02 sec (Use 5% definition), and maximum overshoot of the compensated system is Mp 20%. Clearly explain all your steps. (b) Build a simulink model and use the compensator you designed above....
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
2. Given a unity feedback system with open-loop transfer function s+40s-I) a) For K-1, derive the expressions for the real and imaginary parts of G(jo). b) What happen to the real and imaginary parts of G(jo) for ω 0 and for Are there values of ω that either the real or imaginary part goes to zero? If not, compute Gijo) for some ovalue, say,, or 2, to help you sketch the Polar plot of Gja). c) d) Use Matlab to...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
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